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Indigo Interior

Age 14 to 16 Short
Challenge Level



The diagram shows a pattern of eight equal shaded squares inside a circle of area $\pi$ square units.


What is the area (in square units) of the shaded region?







If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.